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Finding the Third Proportional to 109.78 and 223.36

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Solution

The third proportional to 109.78 and 223.36 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 223.36 = 223.36 : x
  2. Step 2: Convert to fraction form
    109.78/223.36 = 223.36/x
  3. Step 3: Cross multiply
    109.78x = 223.36 × 223.36
  4. Step 4: Simplify right side
    109.78x = 49,889.41
  5. Step 5: Solve for x
    x = 49,889.41/109.78
  6. Step 6: Final answer
    x = 454.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.